What is 400/640 Simplified? (Reduce 400/640 to Lowest Terms: 5/8)

Exact Answer

400/640 = 5/8

Simplified Fraction

5/8

Mixed Number

Proper (5/8)

Decimal Value

0.625

Percentage

62.5%

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Step-by-Step Solution: 400/640 = 5/8

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
• Factors of 640: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

GCD(400, 640) = 80

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 80. Divide both the numerator (400) and denominator (640) by 80.

400 ÷ 80/640 ÷ 80 = 5/8

Visual Representation

The diagram below illustrates Simplify 400/640 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/8`
Mixed Number Form	`5/8`
Decimal Form	`0.625`
Percentage	`62.5%`

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Frequently Asked Questions

What is 400/640 in simplest form?

400/640 simplified to lowest terms is 5/8.

What is the GCD (GCF) of 400 and 640?

The Greatest Common Divisor (GCD) of 400 and 640 is 80.

What are equivalent fractions to 400/640?

Equivalent fractions to 400/640 include 10/16, 15/24, and 20/32.